The generator matrix

1 0 0 0 0 0 1 1 1 X 0 0 0 0 1 1 1 X 0 1 X 1 1 1 1 1 1 X X X 0 X X 0 0 0 1 X 1 X 1 1 0
0 1 0 0 0 0 0 0 0 0 1 X 1 1 0 X+1 X 1 1 1 X X X+1 1 1 X X X 1 X 1 1 X 1 0 X 0 0 0 0 X+1 1 1
0 0 1 0 0 0 0 0 0 0 X 1 1 X+1 X+1 1 1 0 X+1 0 0 X+1 0 X+1 1 X+1 X X X 1 X+1 1 0 X X 1 X+1 1 X+1 1 1 X 1
0 0 0 1 0 0 0 1 1 1 1 1 0 1 X 0 X+1 X X+1 X+1 1 1 X+1 1 1 1 0 X X 0 X+1 0 0 1 1 X 0 X+1 0 X X+1 X 1
0 0 0 0 1 0 1 0 X+1 1 1 1 X X+1 1 1 X X+1 0 1 X X+1 X X 1 1 0 X X+1 0 0 0 1 X 1 X+1 0 1 X X+1 1 0 X+1
0 0 0 0 0 1 1 X+1 X 1 0 X 1 X+1 X X+1 0 1 0 X+1 X X+1 X 1 0 1 X 1 1 0 0 X+1 X 1 0 1 1 1 X 1 X+1 1 X
0 0 0 0 0 0 X X 0 0 0 0 0 0 X X X X X 0 X 0 0 0 X X X X 0 0 0 X 0 X X X 0 X 0 0 0 X X

generates a code of length 43 over Z2[X]/(X^2) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+289x^34+576x^36+949x^38+1012x^40+1251x^42+1247x^44+1198x^46+801x^48+579x^50+200x^52+85x^54+2x^56+1x^58+1x^76

The gray image is a linear code over GF(2) with n=86, k=13 and d=34.
This code was found by Heurico 1.10 in 2.61 seconds.